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4057474057 = 721337172153
BaseRepresentation
bin1111000111011000…
…0010010000001001
3101110202212001000221
43301312002100021
531302203132212
61510341430041
7202355650300
oct36166022011
911422761027
104057474057
1117a237a34a
12952a0b321
134c87c5a30
142a6c35437
1518b329807
hexf1d82409

4057474057 has 24 divisors (see below), whose sum is σ = 5220397896. Its totient is φ = 3123525888.

The previous prime is 4057474051. The next prime is 4057474067. The reversal of 4057474057 is 7504747504.

It can be written as a sum of positive squares in 4 ways, for example, as 785176441 + 3272297616 = 28021^2 + 57204^2 .

It is a de Polignac number, because none of the positive numbers 2k-4057474057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4057474051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62508 + ... + 109645.

It is an arithmetic number, because the mean of its divisors is an integer number (217516579).

Almost surely, 24057474057 is an apocalyptic number.

It is an amenable number.

4057474057 is a deficient number, since it is larger than the sum of its proper divisors (1162923839).

4057474057 is a wasteful number, since it uses less digits than its factorization.

4057474057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172217 (or 172210 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 43.

The square root of 4057474057 is about 63698.3049774482. The cubic root of 4057474057 is about 1594.9677908086.

The spelling of 4057474057 in words is "four billion, fifty-seven million, four hundred seventy-four thousand, fifty-seven".

Divisors: 1 7 13 37 49 91 259 481 637 1813 3367 23569 172153 1205071 2237989 6369661 8435497 15665923 44587627 82805593 109661461 312113389 579639151 4057474057